This course concerns infinite sequences and series. These discrete objects could be used to approximate continuous objects such as functions and integrals that have been studied in 21-115, 21-116 and 21-117.
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Textbook
James Stewart, Calculus: Early Transcendentals, Fourth Edition
We'll mainly cover chapter 11. Part of chapter 4 will be added.
Prerequisite knowledge
21-115 and 21-116 (or equivalents).
Hours
Lecture hours: (MTWRF) 10:30AM-11:50AM PH A20
Office hours: Mainly by appointment (pyu@andrew.cmu.edu) at WEH 6403
Grade
There will be weekly homework assignments, a midterm and a final. Each of the midterm and the final will be given in class for 1 hour and 20 minutes. For the overall score, HW takes 20%, midterm takes 40% and final takes 40%. The final is NOT comprehensive, focusing only on the material covered after midterm. (Notice the material is accumulative, so there's no way to avoid stuff done in the early stage of the course completely while testing the later stuff.) The final grade is determined according to the following scale:
Homework assignments
Homework is usually due on Mondays in class. Late HW will not be accepted!
sec 4.4: 54, 56 sec 4.9: 9, 20 (Read Example 2 & 3 of this section.) sec 11.1: 17(Read Example 3), 27, 31, 37(Hint: use the idea of Squeeze Thm), 60 sec 11.2: 9, 16, 33, 44 sec 11.3: 7, 24, 30 sec 11.4: 10, 25, 30, 33 |
sec 11.5: 7, 8, 12, 23 sec 11.6: 6, 10, 13, 25 sec 11.8: 10, 25, 27 (Hint: use Root Test for 27) |
sec 11.9: 8, 10, 15, 17, 20 sec 11.10: 3, 15(also think about why this is better than Maclaurin for x around pi/4), 17, 27, 41, 45 sec 11.11: 5, 7 sec 11.12: 25 |
This page
http://www.math.cmu.edu/~pyu/21-118
The material on this page is subject to change during the semester. I'll inform you in class in case a significant change is made.